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Simplifying (x2 + -1xy + y2) + 3xy = 0 Reorder the terms: (-1xy + x2 + y2) + 3xy = 0 Remove parenthesis around (-1xy + x2 + y2) -1xy + x2 + y2 + 3xy = 0 Reorder the terms: -1xy + 3xy + x2 + y2 = 0 Combine like terms: -1xy + 3xy = 2xy 2xy + x2 + y2 = 0 Solving 2xy + x2 + y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + y)(x + y) = 0Subproblem 1
Set the factor '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySubproblem 2
Set the factor '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySolution
x = {-1y, -1y}
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